They can guarantee that some data that indicates it was recorded yesterday was in fact recorded yesterday and not changed at any point since yesterday.

There's literally nothing a blockchain can do that a trusted central database couldn't do. So you only need a blockchain if you can't trust a central database. As a result, the answer to the question you've posed is always going to be a political one, not a technical one. ("It lets banks that don't trust each other keep a shared database of transactions." "It lets citizens who don't trust their various governments exchange currency." "It lets shipping companies that don't trust each other digitize their manifests." "It lets scientists prove their papers were published on a certain date.")